Finding the Third Proportional to 76,016 and 116,940

Step by Step Solution

1. Step 1: Write the proportion equation
   76,016 : 116,940 = 116,940 : x
2. Step 2: Convert to fraction form
   76,016/116,940 = 116,940/x
3. Step 3: Cross multiply
   76,016x = 116,940 × 116,940
4. Step 4: Simplify right side
   76,016x = 13,674,963,600
5. Step 5: Solve for x
   x = 13,674,963,600/76,016
6. Step 6: Final answer
   x = 179,895.86